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56778020 = 225131311667
BaseRepresentation
bin1101100010010…
…1110100100100
310221211121210122
43120211310210
5104013344040
65344541112
71256414405
oct330456444
9127747718
1056778020
112a060192
1217021798
13b9bc580
14777d9ac
154eb81b5
hex3625d24

56778020 has 48 divisors (see below), whose sum is σ = 129463488. Its totient is φ = 20791680.

The previous prime is 56777993. The next prime is 56778037. The reversal of 56778020 is 2087765.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33227 + ... + 34893.

It is an arithmetic number, because the mean of its divisors is an integer number (2697156).

Almost surely, 256778020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56778020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64731744).

56778020 is an abundant number, since it is smaller than the sum of its proper divisors (72685468).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

56778020 is a wasteful number, since it uses less digits than its factorization.

56778020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1820 (or 1818 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 35.

The square root of 56778020 is about 7535.1191098748. The cubic root of 56778020 is about 384.3498782356.

It can be divided in two parts, 567 and 78020, that added together give a palindrome (78587).

The spelling of 56778020 in words is "fifty-six million, seven hundred seventy-eight thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 131 260 262 524 655 1310 1667 1703 2620 3334 3406 6668 6812 8335 8515 16670 17030 21671 33340 34060 43342 86684 108355 216710 218377 433420 436754 873508 1091885 2183770 2838901 4367540 5677802 11355604 14194505 28389010 56778020